Let P(n) be the statement that a postage of ncentscanbe formed using just 3-cent stamps and 5-cent stamps The parts of this exercise outline a strong induction proof that P(n) is true for n ≥ 8.

a) Show that the statements P(8), P(9), and P(10) are true, completing the basis step of the proof.

b) What is the inductive hypothesis of the proof?

c) What do you need to prove in the inductive step?

d) Complete the inductive step for k ≥ 10.

e) Explain why these steps show that this statement is true whenever n ≥ 8.

Discrete Mathematics CS225 Terms and concepts: Week 2 Reading 145-159, 165-167. 183-184. 201-203 and Lectures and Supplemental Info List of Types of Numbers: • Natural numbers ( ℕ ): Counting numbers. {0, 1, 2, 3…} • Integers ( ℤ ): Positive and negative counting numbers. {…-2, -1, 0, 1, 2, …} • Rational numbers ( ℚ ): Numbers that can be expressed as a ratio of...